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Finding the Fourth Proportional to 1,280.76, 1,767.84 and 802.47

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Solution

The fourth proportional to 1,280.76, 1,767.84 and 802.47 is: 1,107.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,280.76 : 1,767.84 = 802.47 : x
  2. Step 2: Convert to fraction form
    1,280.76/1,767.84 = 802.47/x
  3. Step 3: Cross multiply
    1,280.76x = 1,767.84 × 802.47
  4. Step 4: Simplify right side
    1,280.76x = 1,418,638.56
  5. Step 5: Solve for x
    x = 1,418,638.56/1,280.76
  6. Step 6: Final answer
    x = 1,107.65

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.